Question

shop x sold 1800 cutlery in two days.on Monday the ratio of the number of forks spoons to knives sold was 2:3:4. on Tuesday the ratio of the number of forks to spoons two knives sold was 3:2:4. shop x sold the same number of spoons each day.
(a) what was the total number of spoons sold on both days?
(b) on Wednesday some cutleries were returned to shop x. the ratio of the number of forks to spoons to knives returned was 1:3:2 and all the spoons were returned. find the total number of cutleries returned to shop x.​

Answer 1

Step-by-step explanation:

let the number of spoons, forks, knives sold be x

then,

a)

2:3:4= 2x+ 3x+ 4x

2x+ 3x+ 4x= 1800

9x= 1800

x= 200

number of forks, spoons and knives on monday are:-

number of forks is:-

2x= 2*200= 400

number of spoons is:-

3x= 3*200= 600

number of knives is:-

4x= 4*200= 800

number of spoons, forks and knives sold on tuesday are:-

number of forks is:-

3x= 3*200= 600

number of spoons is:-

2x= 2*200= 400

number of knives is:-

4x= 4*200= 800

therefore,

number of forks sold on both the days are:-

400+ 600= 1000

number of spoons sold on both the days are:-

600+400= 1000

number of knives sold on both the days are:-

800+800= 1600

therefore, the number of forks, spoons and knives sold in both the days is 1000, 1000 and 1600 respectively.

b)

let the number of cutleries returned to the shop be x

then,

1:3:2= 1x+ 3x+2x

1x+3x+2x= 1000+1000+1600

6x= 3600

x= 600

total number of cutileries sold on wednesday:-

number of forks:-

1x= 1*600= 600

number of spoons:-

3x= 3*600= 1800

number of knives:-

2x= 2*600= 1200

therefore, number of total cutleries returned to the x shop are:-

600+1800+1200

3600

3600 cutleries are returned to the shop x

!!!! hope u got your answer !!!!

Please mark this as the brainliest answer

THANK YOU

:)

:D